Emergent dynamics of Cucker-Smale flocking particles in a random environment
文献类型：期刊论文
| 作者 | Ha, Seung-Yeal1,2,3; Jeong, Jiin4; Noh, Se Eun5; Xiao, Qinghua6; Zhang, Xiongtao4 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2017-02-05 |
| 卷号 | 262期号:3页码:2554-2591 |
| 关键词 | Cucker-Smale-Fokker-Planck equation Degenerate diffusion Flocking Mean-field limit |
| 英文摘要 | We present a new kinetic Cucker-Smale-Fokker-Planck (CS-FP) type equation with a degenerate diffusion, which describes the dynamics for an ensemble of infinitely many Cucker-Smale particles in a random environment. The asymptotic dynamics of the CS-FP equation exhibits a threshold-like phenomenon depending on the relative strength between the coupling strength and the noise strength. In the small coupling regime, the noise effect becomes dominant, which induces the velocity variance to increase to infinity exponentially fast. In contrast, the velocity alignment effect is strong in the large coupling regime, and the velocity variance tends to zero exponentially fast. We present the global existence of classical solutions to the CS-FP equation for a sufficiently smooth initial datum without smallness in its size. For the kinetic CS-FP equation with a metric dependent communication weight, we provide a uniform-in-time mean-field limit from the stochastic CS-model to the kinetic CS-FP equation without convergence rate. (C) 2016 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | MEAN-FIELD LIMIT ; FOKKER-PLANCK EQUATION ; GLOBAL EXISTENCE ; ASYMPTOTIC FLOCKING ; COLLECTIVE MOTION ; MODEL ; SYSTEM ; DIMENSIONS ; SYNCHRONIZATION ; FORCES |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000392463200017 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9950]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea 2.Seoul Natl Univ, Inst Math, Seoul 151747, South Korea 3.Korea Inst Adv Studies, Sch Math, Seoul 130722, South Korea 4.Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea 5.Myongji Univ, Dept Math, Yongin 449728, South Korea 6.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ha, Seung-Yeal,Jeong, Jiin,Noh, Se Eun,et al. Emergent dynamics of Cucker-Smale flocking particles in a random environment[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2017,262(3):2554-2591. |
| APA | Ha, Seung-Yeal,Jeong, Jiin,Noh, Se Eun,Xiao, Qinghua,&Zhang, Xiongtao.(2017).Emergent dynamics of Cucker-Smale flocking particles in a random environment.JOURNAL OF DIFFERENTIAL EQUATIONS,262(3),2554-2591. |
| MLA | Ha, Seung-Yeal,et al."Emergent dynamics of Cucker-Smale flocking particles in a random environment".JOURNAL OF DIFFERENTIAL EQUATIONS 262.3(2017):2554-2591. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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